Draw the influence lines for $($a$)$ the vertical reaction at $A,($b$)$ the shear at $C,$ and $($c$)$ the bending moment at $C.$

Problem $4$

The beam in the previous example supports a uniform live load of $500\frac{N}{m}$ and a single live concentrated force of $5000$ N$.$ Determine $($a$)$ the maximum positive moment that can be developed at C$,$ and $($b$)$ the maximum negative moment that can be developed at C$.$ Draw a free body diagram for cases $($a$)$ and $($b$)$ indicating where the live loads should be placed. Plz show step for maximum and negative moment.